What is the Least Common Multiple of 68608 and 68616?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 68608 and 68616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68608 and 68616, than apply into the LCM equation.

GCF(68608,68616) = 8
LCM(68608,68616) = ( 68608 × 68616) / 8
LCM(68608,68616) = 4707606528 / 8
LCM(68608,68616) = 588450816

Least Common Multiple (LCM) of 68608 and 68616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68608 and 68616. First we will calculate the prime factors of 68608 and 68616.

Prime Factorization of 68608

Prime Factorization of 68616

Now multiplying the highest exponent prime factors to calculate the LCM of 68608 and 68616.

LCM(68608,68616) = 2¹⁰ × 67¹ × 3² × 953¹
LCM(68608,68616) = 588450816